Continuous point symmetries in Group Field Theories

Kegeles, Alexander; Oriti, Daniele

doi:10.1088/1751-8121/aa5c14

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Continuous point symmetries in Group Field Theories

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Kegeles, Alexander
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Oriti, Daniele
Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Kegeles, A., & Oriti, D. (2017). Continuous point symmetries in Group Field Theories. Journal of Physics A: Mathematical and Theoretical, 50(12): 125402. doi:10.1088/1751-8121/aa5c14.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002B-5FB5-4

Abstract

We discuss the notion of symmetries in non-local field theories characterized
by integro-differential equations of motion, from a geometric perspective. We
then focus on Group Field Theory (GFT) models of quantum gravity and provide a
general analysis of their continuous point symmetry transformations, including
the generalized conservation laws following from them.